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Nonparametric Two-Stage Estimation of Simultaneous Equations with Limited Endogenous Regressors

  • Myoung-Jae Lee (a1)

Abstract

Estimation of simultaneous equations with limited (or transformed) endogenous regressors has been difficult in the parametric literature for various reasons. In this paper, we propose a nonparametric two-stage method that is analogous to two-stage least-squares estimation. A simultaneous censored model is used to illustrate our approach, and then its generalization to other cases is developed. The technical highlight is in handling a nondifferentiable second-stage minimand with an infinite-dimensional first-stage nuisance parameter when the first-stage error is not orthogonal to the second.

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Ahn, H. & Manski, C. (1993) Distribution theory for the analysis of binary choice under uncertainty with nonparametric estimation of expectation. Journal of Econometrics 56, 291321.
Andrews, D.W.K. (1994a) Asymptotics for semiparametric econometric models via stochastic equicontinuity, Econometrica 62, 4372.
Andrews, D.W.K. (1994b) Empirical process methods in econometrics. In Handbook of Econometrics IV. Amsterdam: North-Holland.
Andrews, D.W.K. (1995) Nonparametric kernel estimation for semiparametric models. Econometric Theory 11, 560596.
Collomb, G. & Hardle, W. (1986) Strong uniform convergence rates in robust nonparametric time series analysis and prediction. Stochastic Processes and Their Applications 23, 7789.
Hardle, W. & Stoker, T.M. (1989) Investigating smooth multiple regression by the method of average derivatives. Journal of the American Statistical Association 84, 986995.
Horowitz, J.L. (1986) A distribution free LSE for censored linear regression models. Journal of Econometrics 32, 5984.
Horowitz, J.L. (1988) Semiparametric M-estimation of censored linear regression models. Advances in Econometrics 7, 4583.
lchimura, H. & Lee, L.F. (1991) Semiparametric least squares estimation of multiple index models. In Barnett, W.A.Powell, J., & Tauchen, G. (eds.), Nonparametric and Semiparametric Methods in Econometrics and Statistics. New York: Cambridge University Press.
Lee, M.J. (1992) Winsorized mean estimator for censored regression. Econometric Theory 8, 368382.
Lee, M.J. (1993) Quadratic mode regression. Journal of Econometrics 57, 119.
Lee, M.J. (1995) Semiparametric estimation of simultaneous equations with limited dependent variables: A case study of female labor supply. Journal of Applied Econometrics 10, 187200.
Newey, W.K. (1985) Semiparametric estimation of limited dependent variable models with endogenous explanatory variables. Annales de L'Insee 59/60, 219237.
Newey, W.K. (1991) Efficient estimation of Tobit models under conditional symmetry. In Barnett, W.A.Powell, J., & Tauchen, G. (eds.), Nonparametric and Semiparametric Methods in Econometrics and Statistics. New York: Cambridge University Press.
Newey, W.K. (1994) The asymptotic variance of semiparametric estimators. Econometrica 62, 13491382.
Pakes, A. & Pollard, D. (1989) Simulation and the asymptotics of optimization estimator. Econometrica 57, 10271057.
Pollard, D. (1984) Convergence of Stochastic Processes. New York: Springer-Verlag.
Pdtscher, B.M. & Pmcha, I.R. (1991) Basic Structure of the Asymptotic Theory in Dynamic Nonlinear Econometric Models, Pt. II: Asymptotic Normality. Working paper, Department of Economics, University of Maryland.
Powell, J.L. (1984) Least absolute deviations estimation for the censored regression model. Journal of Econometrics 25, 303325.
Powell, J.L. (1986) Symmetrically trimmed least squares estimation for Tobit models. Econometrica 54, 14351460.
Powell, J.L., J.H. Stock, & Stoker, T.S. (1989) Semiparametric estimation of index coefficients. Econometrica 57, 14031430.
Robinson, P.M. (1988) Root-/V consistent semiparametric regression. Econometrica 56, 931954.
Sherman, R. (1993) The limiting distribution of the maximum rank correlation estimator. Econometrica 61, 123137.
Stoker, T.S. (1991) Equivalence of direct, indirect and slope estimators of average derivatives. In Barnett, W.A.Powell, J., & Tauchen, G. (eds.), Nonparametric and Semiparametric Methods in Econometrics and Statistics. New York: Cambridge University Press.
Van Soest, A., Kapteyn, A., & Kooreman, P. (1993) Coherency and regularity of demand systems with equality and inequality constraints. Journal of Econometrics 57, 161188.

Nonparametric Two-Stage Estimation of Simultaneous Equations with Limited Endogenous Regressors

  • Myoung-Jae Lee (a1)

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